Investigating the impact of poverty on mental illness in the UK Biobank using Mendelian randomization

It is unclear whether poverty and mental illness are causally related. Using UK Biobank and Psychiatric Genomic Consortium data, we examined evidence of causal links between poverty and nine mental illnesses (attention deficit and hyperactivity disorder (ADHD), anorexia nervosa, anxiety disorder, autism spectrum disorder, bipolar disorder, major depressive disorder, obsessive-compulsive disorder, post-traumatic stress disorder and schizophrenia). We applied genomic structural equation modelling to derive a poverty common factor from household income, occupational income and social deprivation. Then, using Mendelian randomization, we found evidence that schizophrenia and ADHD causally contribute to poverty, while poverty contributes to major depressive disorder and schizophrenia but decreases the risk of anorexia nervosa. Poverty may also contribute to ADHD, albeit with uncertainty due to unbalanced pleiotropy. The effects of poverty were reduced by approximately 30% when we adjusted for cognitive ability. Further investigations of the bidirectional relationships between poverty and mental illness are warranted, as they may inform efforts to improve mental health for all.


Article
https://doi.org/10.1038/s41562-024-01919-3household and the area in which one lives and so facilitate a more informed understanding of which aspects of poverty present the greatest risk to individual mental health.Second, we investigated the causal relationship of the common factor of poverty and each of the three indicators of poverty with nine mental illnesses: attention deficit and hyperactivity disorder (ADHD), anorexia nervosa (AN), anxiety disorder (ANX), autism spectrum disorder (ASD), bipolar disorder (BD), major depressive disorder (MDD), obsessive-compulsive disorder (OCD), post-traumatic stress disorder (PTSD) and schizophrenia (SZ).To account for potential confounding effects, we also extended the MR analyses to include cognitive ability (CA).

Results
The schematic overview of the study is represented in Fig. 1.

Latent-poverty-factor estimation
To analyse the joint genetic architecture of poverty, we ran a multivariable GWAS for which a common factor defined by genetic indicators is regressed on a single nucleotide polymorphism (SNP).The multivariable GWAS of the latent poverty factor (PF) was modelled from three indicators: HI, SD and OI (see Methods and Supplementary Information for details and Supplementary Table 1 showing the factor loading of each indicator).The heritability of the common factor GWAS was estimated with h 2 and was around 8.4%.The mean χ 2 , multivariable linkage disequilibrium score regression (LDSC) intercept and h 2 for the common factor GWAS and the GWAS of HI, SD and OI are presented in Supplementary Table 2.
The GWAS of the latent poverty factor identified 90 significantly associated independent loci at the GWAS threshold (P ≤ 5 × 10 −8 ), as displayed in Fig. 2. individuals, possibly mediated by factors such as housing insecurity, substance use and stress.Conversely, the social selection theory suggests that the overrepresentation of lower SES among people with mental illness is mainly attributable to downward social mobility as a consequence of the impairment associated with poor mental health 11 .
Conducting randomized controlled trials to determine the causality of the role of poverty is neither feasible nor ethical.An alternative method to investigate is Mendelian randomization (MR), which uses genetic data from genome-wide association studies (GWAS) to examine whether a risk factor fits in a causal model for an outcome 12 .The MR method takes advantage of the fact that genetic variants are fixed at conception and are less susceptible to the confounding effects that make results from observational studies difficult to interpret 13 .
Studies on poverty come with the challenge of defining poverty.Most of them use a single measure, usually based on income recorded at the household level, individual income or operationalized employment status of an individual, by occupational income 7,11 .However, no single indicator can capture the multiple dimensions of poverty, such as lack of material goods, limited access to education and health-care services, inadequate living standards, disempowerment, poor quality of work, the threat of violence, and living in areas that are environmentally hazardous, among others [14][15][16][17] .For that reason, the UK health authorities commonly use a composite measure known as the Townsend Deprivation Index to assess material deprivation within a population 18 .
In this study, we applied MR to examine the causal effects of poverty on nine mental illnesses.First, to maximize the power required to examine the common effects of poverty across its multidimensional aspects, we derived a poverty factor using household income (HI), occupational income (OI) and social deprivation (SD).These three measures capture poverty at the levels of the individual, the  The genetic correlation between PF and CA was strong (r g = 0.74, s.e.= 0.029; Supplementary Table 3).When we ran bidirectional MR of CA against PF, we found stronger evidence supporting the causal effect of CA on PF (inverse variance weighted (IVW) β CA→PF = −0.390(95% confidence interval (CI): −0.408, −0.372)) rather than vice versa (IVW β PF→CA = −0.274(95% CI: −0.288, −0.261)), as suggested by the results of Steger's test (P < 0.001 and P = 0.423, respectively).The full results are presented in Supplementary Table 4 and Supplementary Figs.1-4.
The results are displayed in Fig. 3 (see also the scatterplots in Supplementary Figs.5-13 and 23-26) and in Supplementary Table 5 (see also Supplementary Table 6 for conversion to odds ratios).
Steiger tests indicated that the causal direction between the exposure and outcome was correct in all the analyses.Cochran's Q heterogeneity statistics were significant in all the analyses (except for the effects of PF on ANX and P on OCD), which is suggestive of pleiotropy.Furthermore, we looked at the MR Egger regression (MR-Egger) intercept, which significantly deviated from 0 in the analysis of PF against ADHD (P = 0.001) and of PF against ASD (P = 0.035), suggesting that pleiotropy was unbalanced in these relationships.The MR-Egger causal effect, which provides a better estimate in cases of unbalanced pleiotropy than IVW MR, yielded uncertain results for the effect of PF on ADHD (β = −0.232(95% CI: −0.568, 0.104)) and evidence of an inverse relationship between PF and ASD (β = −0.477(95% CI: −0.899, −0.0.54),Egger's intercept P = 0.035).MR pleiotropy residual sum and outlier (MR-PRESSO) did not detect bias in the estimates due to horizontal pleiotropy in all the estimates.Causal Analysis Using Summary Effect Estimates (CAUSE) confirmed the causal effect of PF on ADHD bidirectionally, and unidirectionally on AN, MDD and PTSD.No significant difference between the sharing and the causal models was found for the effect of PF on SZ bidirectionally.The results of CAUSE are presented in Supplementary Table 7.
Leave-one-out analyses, in both the forward and backward directions, showed that the direction of the effect of each SNP is consistent with the direction of the overall causal estimate.In addition, for most of the analyses, a change in the estimations of less than 10% was obtained by leaving out each SNP, suggesting that none of the genetic variants were overly influential.The results of the leave-one-out analyses are provided in Supplementary Figs.14-22 and 27-29.Finally, to test whether our results were robust to bias due to reverse causality, we repeated the MR analyses on a subset of SNPs selected through Steiger filtering.This sensitivity analysis confirmed the results of the main analysis, except for the effect of PF on OCD, which was no longer significant after Steiger filtering (β = −0.013(95% CI: −0.199, 0.173)).The results are presented in Supplementary Table 8.
To further explore whether the effect of poverty on mental illness is driven by specific indicators, we performed bidirectional univariable MR using each of the poverty indicators (that is, HI, OI and SD) as the exposure.The results are presented in Fig. 4; Supplementary Tables 9 and 10 (HI), 13 and 14 (OI), and 17 and 18 (SD); and Supplementary Figs.30-107.The HI GWAS had a higher level of power than the OI and SD GWAS, as indicated by the number of SNPs selected for the analyses (~50, ~30 and ~10, respectively).

Bidirectional univariable MR of HI categories against mental illness
To explore the shape of the relationship between HI and mental health, and specifically to answer the question whether there is a particular HI threshold at which the effect of HI on mental health kicks in, we used GWAS data for the HI categories and investigated the effect of each category on the considered mental illnesses.That led to the creation of four dichotomous dummy variables: (1) low HI (LHI), for which cases were those <£18,000 and controls were those ≥£18,000; (2) low-mid HI (LMHI), for which cases were those <£29,999 and controls were those ≥£29,999; (3) mid-high HI (MHHI), for which cases were those >£52,000 and controls were those ≤£52,000; and (4) high HI (HHI), for which cases were those >£100,000 and controls were those ≤£100,000.For each of these categories, bidirectional univariable MR was performed.
The effect of the HI levels on BD showed a U-shaped distribution, in which BD was causally associated with both low and high HI Article https://doi.org/10.1038/s41562-024-01919-3 (β LHI→BD = 0.306 (95% CI: 0.125, 0.487); β MHHI→BD = 0.179 (95% CI: 0.053, 0.304); β HHI→BD = 0.608 (95% CI: 0.423, 0.792)).However, these associations were not replicated using the WM method, and MR-PRESSO detected significant distortion in the estimate due to pleiotropy in the relationship between BD and MHHI, with non-significant outlier-adjusted causal estimates (β = 0.002 (95% CI: −0.039, 0.042)).The estimate of the causal effect using the WM method was consistent in magnitude for the bidirectional effects of LHI on ADHD and SZ and for the unidirectional effects of LHI on ANX, MDD and PTSD and of MHHI and HHI on ASD.
Q statistics were suggestive of high levels of heterogeneity in most of the analyses; however, MR-Egger showed a significant intercept and causal effect only for the relationship between MHHI and BD (β = 1.69 (95% CI: 0.376; 3.00); Egger's intercept P = 0.033).Steiger tests indicated that the causal direction between the exposure and outcome was correct in all the analyses except those on ASD (P = 0.994 and P = 0.057, respectively, for the associations with LMHI and MHHI).
The MR analyses on a subset of SNPs selected through Steiger filtering confirmed a stronger causal effect of the lowest HI level on ADHD, MDD, PTSD and SZ.The protective effect of MHHI on ASD was also confirmed.Interestingly, the effects observed in the main analysis were not confirmed for BD and AN, yielding evidence of reverse causation rather than direct causality for these associations.These results can be found in Supplementary Table 26.

Multivariable MR of poverty factor and CA against mental illness
Like other measures of SES, genetic effects are unlikely to influence poverty directly.Rather, genetic effects are likely to influence poverty through intermediary traits (such as health, personality, intelligence and other characteristics) that are themselves heritable 19 .Previous studies have shown that CA (referred to as general cognitive function, performance or intelligence) is one likely causal factor in income differences 19 as well as being genetically associated with mental illness 20 .We used multivariable MR (MVMR) to estimate the effect of poverty on each mental illness, while controlling for CA.First, we performed bidirectional univariable MR of CA on mental illness, finding evidence supporting a bidirectional inverse causal relationship between CA and ADHD (β = −0.638(95% CI: −0.720, −0.556); β = −0.151(95% CI: −0.172, −0.131); forward and backward direction, respectively) and SZ (β = −0.297(95% CI: −0.365, −0.228); β = −0.055(95% CI: −0.063, −0.047); forward and backward direction, respectively), a unidirectional negative causal  Importantly, and unlike the univariable models, the inclusion of CA in the MVMR model produced highly dissimilar results comparing between the poverty factor and each indicator of poverty.First, the inclusion of CA in the MVMR model removed the effect of HI on mental illness.Second, for both OI and SD, some significant effects remained, where OI demonstrated a direct effect on ASD and SD showed a direct effect on AN.The results of these additional MVMR models are shown in Supplementary Tables 30-33.Taken together, these results support the idea that the majority of the genetic effects that link poverty to mental illness do act on CA.However, by using a general factor of poverty, the resulting increase in statistical power facilitated the discovery of genetic effects linking poverty to mental health independent of the effects of CA.Therefore, while CA is correlated with poverty, it does not fully account for the observed genetic effects on mental health.These findings, when considered alongside the results of the MR of PF and CA, point to CA fitting as an upstream component in the complex causal pathway linking poverty to mental illness.

Discussion
Building on data from 18 GWAS, this study provides support for a causal relationship between poverty and some mental illnesses.Jointly modelling different indicators of poverty using genomic structural equation modelling and subsequent MR provided converging evidence supporting bidirectional causal effects of poverty and ADHD/ SZ, a unidirectional causal effect of poverty on MDD and an inverse causal relationship between poverty and AN.Notably, the evidence For LHI, cases <£18,000 and controls ≥£18,000; for LMHI, cases <£29,999 and controls ≥£29,999; for MHHI, cases >£52,000 and controls ≤£52,000; and for HHI, cases >£100,000 and controls ≤£100,000.The effect estimates on the x axis are log-odds for both the forward and backward analyses given that all traits are binary; the error bars represent 95% CIs. for a causal relationship between poverty and ADHD was influenced by unbalanced pleiotropy.Our findings, in two Western-ancestry samples, complement the available evidence on social inequalities in mental health collected across different countries, samples and study desi gns 2,7,11,21,22 , including previous MR studies focusing on MDD, HI and unemployment [23][24][25] .However, our research adds evidence that the relationship between poverty and mental illness is valid across different measures of poverty and extends the investigation to a wider range of mental illnesses.This study primarily builds on genetic evidence and therefore warrants caution with respect to the conceptualization of poverty and mental illness.Moreover, while poverty and other measures of SES are heritable traits, it is very unlikely that there are direct genetic effects.Genetic associations with socio-economic traits are probably the result of vertical pleiotropy.Vertical pleiotropy describes instances where one trait is causally associated with a second trait.In these cases, the genetic effects that act on the first trait will also be detected as being associated with the second 26 .In that context, MR can best be viewed as a way to approximately randomly assign heritable traits that give rise to income differences.Two key candidates for such underlying traits are intelligence and personality.For example, intelligence may lead to both educational advantage and socio-economic success as well as healthier behaviours and thus lead to good mental health [27][28][29][30][31] .In this study, we adjusted for CA and made two additional observations.First, when we controlled for CA, the causal effect of the general factor of poverty decreased by around 30% compared with univariate estimates, indicating that CA was a contributor to the causal association between poverty and mental illness.Second, when we examined each of the indicators of poverty separately, the effect of HI on mental illness was no longer statistically significant after controlling for CA.For both OI and SD, most of the evidence of a direct causal effect of poverty was absent after adjusting for CA; however, lower levels of OI remained causally associated with increases in ADHD, and higher SD remained in an inverse association with AN.Nevertheless, the higher power obtained by using the common factor of poverty rather than the individual indicators probably facilitated the detection of the influence of heritable poverty traits above and beyond the role of CA and enabled the detection of the causal role of poverty in mental health.
Of note is the vast literature showing that health characteristics (for example, obesity), physical appearance and mental state can influence economic outcomes, including employment opportunities and wages [32][33][34] .Our results showing a causal effect of poverty on mental illness therefore should not be taken as proof supporting genetic determinism, but rather as epidemiological evidence of the detrimental effects of poverty and socio-economic inequalities on mental health, regardless of the mechanisms (see also the Frequently Asked Questions in the Supplementary Information).
The causal relationship between poverty and mental illness is likely to involve material, psychological, behavioural and biological pathways.For example, those with heritable traits linked to lower levels of poverty may be more able to move away from stressful environments/ jobs/neighbourhoods and so place themselves at a lower risk of disorders 35 .Furthermore, the level of development of the welfare system may be a material mediator of the health-damaging effects of income losses 36,37 .Psychosocial mechanisms are a result of the interaction between people's social environment and their feelings: living on a low income is stressful, and at the same time people in disadvantaged situations may have fewer resources to cope with difficult circumstances.Increasingly, biological research is providing evidence showing how experiences such as social defeat can 'get under the skin', causing biochemical changes in the body and brain and increasing the risk of developing mental health problems 38,39 .Other contributing factors to the relation between poverty and mental illness are the negative health behaviours that are more prevalent in socially disadvantaged groups 40 , probably as a consequence of the higher financial cost of healthy behaviours.For example, a healthy diet is more expensive than processed foods, and joining a gym or sporting clubs can be costly.Moreover, unhealthy behaviours such as smoking and drinking alcohol may be used as coping strategies for stressful situations 41 .
The findings of this study reiterate the need to further unravel the roles of poverty and mental illness and to use this insight to advance mental health for all.The choice of which action to take to address the problem is a political matter, but attention is warranted considering increasing income inequalities worldwide 42 , as well as the increasing incidence of mental illness 43,44 .
Previous studies examining antipoverty programmes reported positive and sustained effects on mental health 45 , including reduction of depression and suicide rates 11,46,47 .For example, a recent randomized controlled trial found that cash incentives provided to low-income individuals led to meaningful improvements in depression 48 .Additionally, specific economic interventions such as family assets, employment support and rental assistance may be effective in enhancing the mental health of programme beneficiaries 49,50 .However, it is important to note that previous quasi-experimental research using natural experiments (such as on the lottery winner population) have provided supportive evidence for a small association between SES and mental health 51 , and qualitative studies have shown that receiving money could be perceived as a debt or burdensome responsibility 52,53 , which may contribute to increased stress 54,55 .Further research is therefore necessary to identify the factors within economic support interventions (for example, microcredit, loans and personal health budgets) that influence mental health outcomes.Early studies have found that that combining antipoverty interventions, such as financial incentives and financial mentoring programmes, appears more effective in improving mental health than providing financial incentives alone 47 .Given these complexities, policymakers could consider policies that can be beneficial for both individuals living in poverty and those living with severe mental illness.Policymakers should also consider a key finding of this study about the effect of CA in the causal pathway linking poverty to mental illness.CA is closely associated with educational attainment and occupational status, which are often regarded as SES variables relevant to health 27,29,56 .Although the genetic relationship between CA and mental illness differs from the genetic relationship between education and mental illness 20,57 , educational attainment is a likely causal factor in CA differences [58][59][60] and is a more straightforward target for interventions CA.Future research should thus explore strategies aimed at facilitating individuals' participation in education, which may lead to better mental health 8,61 .
This study has limitations that should be considered when interpreting the results.First, for ANX, ASD, MDD, OCD and PTSD, the GWAS sample sizes were relatively small, precluding their use as exposure variables for investigating the impact of these disorders on poverty.This is due to the insufficient number of SNPs retained following the selection, clumping and harmonization steps.For SNP selection, we used the threshold of P < 5 × 10 −8 , which is recommended by MR guidelines to ensure the validity of the MR relevance assumption 62 .We could have relaxed this threshold to include additional SNPs, but this could introduce bias.We therefore refrained from performing those MR analyses and trust that future, more powerful GWAS on these conditions will yield more suitable instruments for MR, bridging this gap.Second, most genetic studies were conducted in populations of European ancestry from high-income countries.Generalizability to populations from other ancestries and from low-and middle-income countries is therefore uncertain 63 .In particular, this raises questions about the specificity and universality of the effects of poverty on mental health in different cultures and contexts with different political and social systems.Third, it is well acknowledged that psychiatric phenotypes are complex and heterogeneous, which generally translates to low power.This is reflected by the relatively modest effects of each poverty indicator on mental illness.Fourth, it is essential to acknowledge the potential influence of the dynastic effect, wherein characteristics transmitted across generations (such as the association between a parent's genotype and the offspring's phenotype) are a known source of bias in MR studies as they violate the second assumption (that is, independence) 64 .Detecting the exact magnitude of bias resulting from this effect is challenging, as current sample sizes preclude such analyses today.Future studies examining the causal link between poverty and mental health outcomes in an MR framework will be better placed to assess any influence of dynastic effects on the causal estimates identified.We also advise triangulation of our findings using complementary research methods in future studies.Fifth, it should be noted that previous research pointed out that UK Biobank participants are on average healthier and live in less socio-economically deprived areas than the UK average 65 .This could introduce potential selection bias in MR studies using UK Biobank data, inflating the risk of type I error 66,67 .However, the impact of selection bias is particularly strong when the selection effect is large-for instance, when studying disease progression, secondary diseases or specific subpopulations, such as elderly people 66 .In the context of our research, the selection effect is likely to be low.Furthermore, there is evidence that the UK Biobank is sufficiently large and heterogeneous to provide valid scientific inferences of associations between exposures and health conditions, which is in line with the aim of our research 65 .Sixth, the selection of SNPs associated with the latent poverty factor was performed in the UK Biobank, leading to the potential risk of overestimation of the SNPphenotype association due to winner's curse bias.However, the impact of this bias is generally not substantial in large samples, such as the UK Biobank 68 .Other limitations of MR concern temporality and linearity: MR is thought to provide estimates of lifetime risk and assumes linear effects.Although the use of MR on HI levels and the inclusion of mental illness with onsets across the whole person's lifespan (for example, ranging from ADHD and ASD to MDD and ANX) may have mitigated these limitations, future studies should particularly focus on assessing whether there are critical windows or acute reactions to poverty exposure.Finally, the genetic variants captured by our measure of poverty are likely to have pleiotropic effects 69 .However, to break the assumptions of MR, it is not sufficient for the genetic variants in the instrumental variable to have pleiotropic effects 70 .The genetic variants used as instrumental variables must have horizontally pleiotropic effects mediated via mechanisms other than those captured by poverty.Should genetic variants have vertically pleiotropic effects (for example, SNP → neuron → intelligence → education → poverty → health → psychiatric disorder), then our MR-derived causal estimates will not be biased.Furthermore, if the SNPs affect other phenotypes, but these phenotypes do not affect outcome, then these effects will not bias our MR estimates.It is possible that the genetic variants identified in our poverty GWAS do have horizontally pleiotropic effects, but it is unclear what mechanisms would mediate such effects (for example, personality).In the current study, we investigated potentially pleiotropic effects using MVMR to examine the role of CA 71 .Future research should use MVMR to investigate the roles of other traits that link poverty to mental health outcomes.

Study design and data sources
We conducted a two-sample MR study using summary-level GWAS data that for the most part were publicly available.Specifically, for this study, new GWAS on HI and SD were performed using UK Biobank data under application number 10279 (see 'Data availability' for the links to these data), the OI data are publicly available and can be downloaded from https://osf.io/rg8sh/, the CA data were obtained from the author of the relevant publication 20 , and the summary statistics files for the MR relies on three main assumptions on the validity of the genetic instrument variable: relevance, independence and exclusion restriction 72 .These require that the genetic variant (1) is related to the exposure (that is, only SNPs that reach genome-wide significance in the association with the exposure, or P < 5 × 10 −8 , are used), ( 2) is not correlated with confounders in the exposure-outcome relationship and (3) affects the outcome only through the risk factor (that is, the 'no horizontal pleiotropy' rule).

Poverty and CA instruments
For this research, seven new GWAS were performed: five on HI, one on SD and one on the common factor of poverty.The GWAS on CA and OI were publicly available.A total of 379,598 participants of European ancestry provided genotype data and data on their level of yearly HI before tax.HI was primarily analysed as a continuous variable.To investigate whether the relation between HI and mental illness is particularly strong at any specific level of income, we further categorized HI as a dichotomous variable, defining the cases in the following way: (1) LHI: less than £18,000; (2) LMHI: less than £29,999; (3) MHHI: more than £52,000; (4) HHI: more than £100,000.One GWAS for each HI category versus all the other categories was performed.A total of 440,350 individuals of European ancestry had genotype data and data on their level of SD, measured with the Townsend Deprivation Index, which was analysed as a continuous variable.GWAS of HI and SD were performed in REGENIE (version 3.1.3) 73; for detailed methods, see the Supplementary Information.Previously published GWAS summary data on CA of 248,482 individuals were included 20 .The CA measure was derived from an already existing dataset of multiple cohorts in which each participant had been administered a battery of cognitive tests 20 .Correlations between tests of CA are high, with estimates between r = 0.8 and r = 1.0 being reported 74,75 .Further information on the CA data can be found in the Supplementary Information.In this study, CA was analysed as a continuous variable.
The results from a meta-analysis of two OI GWAS 76 , including the UK Biobank and the Health and Retirement Study (the latter involving participants from white American ancestry), were used to generate the instruments for OI, which were analysed as continuous variables.
We estimated a latent factor GWAS of poverty (PF) by jointly modelling cross-trait liability of continuous HI, OI and SD, using a common factor model in genomic structural equation modelling 77 .Before running the multivariable GWAS, we aligned the alleles across HI, SD and OI traits using the HAPMAP3 reference panel, and summary statistics passed quality control by selecting SNPs with minor allele frequency >0.01 and INFO >0.9.We then estimated the LDSC 78 across HI, OI and SD using the 1000G European reference panel.Finally, we combined the LDSC output with the HI, OI and SD summary statistics to run the multivariable common factor GWAS.This common factor poverty GWAS was built using HI as the unit of identification, and the effective sample size was 453,689.To allow the estimation of poverty instead of income in the MR analyses on mental illness, we reversed the regression coefficients.The full details on the genomic structural equation modelling methods are available in the Supplementary Information.

Mental illness instruments
Results from the most updated GWAS of ADHD 79 , AN 80 , ANX 81 , ASD 82 , BD 83 , MDD 84 , OCD 85 , PTSD 86 and SZ 87 were obtained.The two-sample MR method requires minimal sample overlap between the exposure and outcome GWAS 88 ; therefore, mental illness summary-level data were obtained mainly from the PGC, excluding UK Biobank participants.The GWAS of the mental illness traits considered were provided and analysed as case/control.The effective sample size across the cohorts contributing to the GWAS meta-analysis was calculated for each trait and ranged from 320,000 (for SZ) to 10,000 (for OCD).Table 2 summarizes the GWAS information.

MR
The full set of GWAS summary statistics for each exposure was first restricted to the variants reaching the genome-wide significance threshold (that is, P < 5 × 10 −8 ).Then, to ensure independence between instruments, we applied a strict clumping procedure (LD r 2 < 0.001 within 10 Mb, using 1000G EUR as the reference panel).Following that, SNP alleles were harmonized between exposure GWAS and outcome GWAS, using action = 2 (which tries to infer positive strand alleles, using allele frequencies for palindromes), before running MR.
We conducted bidirectional univariable MR between each poverty measure and mental illness.The IVW method was used to estimate effects in the primary analyses 89 , and the results are presented using forest plots.The WM 90 , MR-Egger 91 and MR-PRESSO 92 methods were used as sensitivity analyses, because each method makes different assumptions regarding instrument validity.Specifically, MR-Egger and MR-PRESSO are better than IVW in cases of horizontal pleiotropy (that is, violation of the exclusion restriction assumption).In addition, we used CAUSE 93 to account for the presence of correlated or uncorrelated pleiotropy (that is, violation of the independence and exclusion restriction assumptions).Further information on MR-PRESSO and CAUSE is available in the Supplementary Information.
We present the results of the MR analyses as β values corresponding to the log-odds for binary traits (for example, mental illness) or to the unstandardized linear regression coefficients for continuous traits (for example, poverty measures) with their respective 95% CIs.When the outcome of the analysis was binary (that is, for mental illness and HI levels), we also provide a conversion to odds ratios with corresponding 95% CIs.
We also conducted leave-one-out analyses to investigate whether the effects are driven by one or a subset of the SNPs and investigated whether the instruments represent the correct causal direction using Steiger analyses, including Steiger tests and Steiger filtering 94 .Steiger filtering is particularly useful to avoid false positive findings due to reverse causation (that is, violation of the exclusion restriction assumption).The mr_wrapper() function of the TwosampleMR package performs Steiger tests on each SNP, evaluating whether the R 2 of the exposure is greater than the R 2 of the outcome and indicating the correct direction of the association.Subsequent Steiger filtering excluded SNPs with false results, allowing MR analyses to be performed on the subset of SNPs with verified associations.
Finally, we hypothesized that CA is probably involved in the poverty and mental illness causal pathway, and our instruments for poverty are possibly related to CA.We therefore used MVMR 72 to estimate the direct effect of poverty on mental illness, independent of CA.For this purpose, we clumped the full list of SNPs from each poverty indicator GWAS (to ensure that only independent SNPs are included) and restricted it to those SNPs found in the outcome GWAS, and then ran the analyses on each instrument-mental illness set.
Instrument strength was quantified using the mean F statistic within the univariable IVW analyses, considering a value of F < 20 as indicative of weak instruments 95 .
All the analyses were conducted in R (version 4.4.0) 96, using the packages TwosampleMR (version 0.6.2) 97 , CAUSE (version 1.2.0) 93 , and GenomicSEM (version 0.0.5) 77.The statistical tests were two-tailed.The significance threshold was P < 0.05.Since only one relationship was tested-that between poverty and mental illness-we did not apply a multiple-testing P-value correction.

Reporting summary
Further information on research design is available in the Nature Portfolio Reporting Summary linked to this article.

Fig. 2 |
Fig. 2 | Manhattan plot of the latent poverty factor.The x axis indicates the chromosomal position, and the y axis indicates the significance of the association (−log 10 (P)).The red line represents the genome-wide significance level (5 × 10 −8 ).SNP effects are estimated with a linear regression model.The P values are two-sided and not adjusted for multiple testing.

abFig. 3 |
Fig.3| Results of univariable bidirectional MR analysis of poverty against mental illness.a, Forward analysis.b, Backward analysis.Poverty is a latent variable built using HI as the unit identification, so that an increase in the indicator's load stands for increased income; the regression coefficients have therefore been reversed to facilitate interpretation of the effect of poverty.The effect estimates on the x axis are log-odds for binary traits (that is, for mental

bFig. 4 |
Fig.4| Results of univariable bidirectional MR analysis for each poverty measure against mental illness.a, Forward analysis.b, Backward analysis.To have a consistent direction of the effect, the SD effect has been reversed.The effect estimates on the x axis are log-odds for binary traits (that is, for mental illnesses) and unstandardized linear regression coefficients for continuous traits (that is, for the poverty indicators); the error bars represent 95% CIs.Missing results are due to an insufficient number of SNPs selected for the MR analysis.HI, N = 379,598; OI, N = 282,963; SD, N = 440,350; ADHD, N = 225,534; AN, N = 72,517; ANX, N = 21,761; ASD, N = 46,350; BD, N = 413,466; MDD, N = 138,884; OCD, N = 9,725; PTSD, N = 206,655; SZ, N = 320,404.

Table 2 | GWAS information for each phenotype
mental illness phenotypes are publicly available for download from the Psychiatric Genomic Consortium (PGC) website at https://pgc.unc.edu/for-researchers/download-results/.Further information on the sources of the summary data is reported in Table2.Ethical approval was obtained in all original studies.